Theorems · Theorem · real analysis
Real.toNNReal_rpow_of_nonneg
∀ {x y : ℝ}, 0 ≤ x → (x ^ y).toNNReal = x.toNNReal ^ y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- Real.toNNRealstatement and proof · cited by 267
- Real.toNNReal_coeproof · cited by 36
- Real.coe_toNNRealproof · cited by 27
- NNReal.coe_rpowproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_rpow_of_posproof · cited by 5